A box in the shape of a rectangular prism has a volume of 96 cubic feet. The box has a length of (x+8) feet, a width of x feet,
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The amount of interest Molly will earn after 5 years on a deposit of compounded annually over 5 years is
First, we need to find the future value of her investment, then we subtract the original deposit from it to get the amount of interest she will get at the end of 5 years.
The future value of an investment that is compounded annually is given by
where
Substituting the available values into the formula and solving
The interest Molly will earn after 5 years is
Therefore, the amount of interest Molly will earn after 5 years on a deposit of compounded annually over 5 years is
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We need to find an inequality that represents the possible landing or take of conditions of an aircraft, the required graph and one case where the inequality will be tested.
The required inequality is .
The graph represents the allowable temperature range in which the aircraft can takeoff or land.
The pilot could not have taken off on June 1990, the temperature in Phoenix, Arizona.
Let the temperature be denoted by
The temperature cannot be at or below , so
The temperature cannot be at or above , so
The inequality will be .
In the graph it can be seen that all points between -40 and 118 falls in the shaded region but it will exclude the points -40 and 118.
The graph represents the allowable temperature range in which the aircraft can takeoff or land.
The temperature in June 1990 in Phoenix, Arizona was which is more than
.
Hence, the pilot could not have taken off on this day.
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